Question

2. A relation is shown in the graph below. Write out the ordered pairs for the inverse, and then determine if

the inverse is a function,
0.-1). (2.1). (-2,1), (3,3), (-3)inverse is not function
0-1), (2.1), (2.1), (3,3), (-3.3: inverse is a function
-1,0), (12), (1-2), (3,3), (3-3); inverse is not a function
(-1,0), (12), (1-2)... 3.-3); inverse is a function

Answer 1

(0,-1),(2,1),(-2,1),(-3,3),(3,3), inverse is a function

Explanation:

The missing diagram is shown in the attachment.

From left to right, the ordered pairs are: (-1,0),(1,-2),(1,2),(3,-3),(3,3).

This relation is not a function because 1 and 3 in the domain have two different y-values.

To find the inverse of this relation, we reverse the ordered pairs to obtain:

(0,-1),(2,1),(-2,1),(-3,3),(3,3).

The inverse is a function because there is no value in the domain that two different values in the range.